If $ab + 1$ divides $a^2 + b^2$, show that $\frac {a^2 + b^2}{ab + 1} $ is the square of an integer provided that $a,b > 0$.
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2This is a famous problem, see the example section in this wiki page: https://en.m.wikipedia.org/wiki/Vieta_jumping – lEm Sep 10 '16 at 02:03
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UGH HOW MANY TIMES IS THIS GOING TO BE ASKED (sorry) – Caleb Stanford Sep 10 '16 at 02:24